A heating element has resistance 100 $\Omega$ at 27.0 °C. Its temperat…

Question

A heating element has resistance 100 $\Omega$ at 27.0 °C. Its temperature coefficient of resistance is $1.70 	imes 10^{-4}\ ^\circ	ext{C}^{-1}$. If the resistance rises to 117 $\Omega$, the temperature of the element is about

Accepted Answer

C. 1027 °C

1. Use $R_2 = R_1[1 + \alpha(T_2 - T_1)]$.
2. $T_2 - T_1 = (117 - 100)/(100 	imes 1.70	imes10^{-4}) = 17/0.017 = 1000\ ^\circ	ext{C}$.
3. $T_2 = 1000 + 27 = 1027\ ^\circ	ext{C}$.
4. 640 °C drops a factor; 1227 °C overshoots by adding too much to the rise.
_Source: NCERT Class 12 Physics Ch 3 "Current Electricity", p.24_

Answer

640 °C

Answer

847 °C

Answer

1227 °C

A heating element has resistance 100 $\Omega$ at 27.0 °C. Its temperature coefficient of resistance is $1.70 \times 10^{-4}\ ^\circ\text{C}^{-1}$. If the resistance rises to 117 $\Omega$, the temperature of the element is about